Question

if a+b+c=0 then find a^2/bc+b^2/ac+c^2/ab​

Answer 1

Answer:

Step-by-step explanation:

if a+b+c=0 , then

a= - (b+c),b=-(a+c)and c=-(a+b)

replacing the values in the question we obtain ,

(-a)^2/bc+(-b)^2/ca+(-c)^2/ab

now taking L.M.C

a^3+b^3+c^3/abc

using the identity,

if a+b+c=0 , then a^3 +b^3+c^3=3abc

hence ,we get

3abc/abc =3

therefore , the value is 3